LEADER 02884nam 2200577 450 001 9910299763203321 005 20200908080752.0 010 $a0-387-54109-8 024 7 $a10.1007/978-0-387-54109-9 035 $a(CKB)3710000000436777 035 $a(SSID)ssj0001558619 035 $a(PQKBManifestationID)16184058 035 $a(PQKBTitleCode)TC0001558619 035 $a(PQKBWorkID)14819617 035 $a(PQKB)10182101 035 $a(DE-He213)978-0-387-54109-9 035 $a(MiAaPQ)EBC5589904 035 $a(PPN)186399952 035 $a(EXLCZ)993710000000436777 100 $a20200908d2015 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aQuadratic diophantine equations /$fTitu Andreescu, Dorin Andrica ; foreword by Preda Miha?ilescu 210 1$aNew York :$cSpringer,$d[2015] 210 4$dİ2015 215 $a1 online resource (XVIII, 211 p.) 225 1 $aDevelopments in mathematics ;$vVolume 40 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-35156-6 320 $aIncludes bibliographical references (pages 201-208) and index. 327 $aWhy quadratic Diophantine equations? - Continued fractions, Diophantine approximation and quadratic rings - Pell's equation - General Pell's equation - Equations reducible to Pell's type equations - Diophantine representations of some sequences - Other applications. 330 $aThis monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis. 410 0$aDevelopments in mathematics ;$vVolume 40. 606 $aDiophantine equations 606 $aEquations, Quadratic 615 0$aDiophantine equations. 615 0$aEquations, Quadratic. 676 $a512.72 700 $aAndreescu$b Titu$f1956-$0285837 702 $aAndrica$b D$g(Dorin), 702 $aMiha?ilescu$b Preda 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299763203321 996 $aQuadratic diophantine equations$92507090 997 $aUNINA